While mike was visiting his sister in arlington,he bought an aquarium that was marked down 60% from an original price of $100 .if the sales tax in Arlington is 5% ,what was the total cost of the arquarium?
Answer:
The cost of the aquarium was $38
Step-by-step explanation:
I got 60% of 100 and it was 60 so it was $40 but then the sales tax was $2 so I subtracted and got 38
The total cost of the aquarium is the sum of the marked down price and
the sales tax.
The total cost of the aquarium is $42
Reasons:
The known information are;
Original price of the aquarium = $100
The marked down percentage of the aquarium = 60%
The sales tax = 5%
[tex]Mark \ down = \dfrac{Difference}{Current \ selling \ price} \times 100[/tex]
[tex]60 \% = \dfrac{Difference}{100} \times 100[/tex]
Which gives;
The difference in sale = $100 - Marked down price = $60
Marked down price = $100 - $60 = $40
The marked down price = $40
The tax is applied to the marked down price, therefore, we get;
Sales tax = 5% × $40 = $2
The total cost = Marked down price + Sales tax
The total cost of the aquarium = $40 + $2 = $42
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(TUTORS WHERE R U?? KIDS NEED HELP LIKE ME!! ILL GIVE BRAINLYY)
Answer:
11. 10x^2 - 13x - 3
12. 5x^2 + 18x + 5
Step-by-step explanation:
11. Product means multiplication, so you can multiply (5x + 1) and (2x - 3).
[tex](5x + 1) * (2x - 3)[/tex] - Using the FOIL (First+Outer+Inner+Last)
So: [tex](5x*2x) + (5x*-3) + (1*2x) + (1*-3)\\10x^{2} -15x + 2x -3\\10x^{2} -13x -3[/tex]
12. [tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)[/tex] (So, you distribute the 2 to x^2 + 5x + 30, then combine like terms).
[tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)\\3x^{2} + 8x - 1 + 2x^{2} +10x + 6\\(3x^{2} +2x^{2}) + (8x + 10x) + (-1+6)\\5x^{2} + 18x + 5[/tex]
Hopefully, this helped you. Good luck & have a good day!
if tan27° =k express the following in terms of k
1. sin 27°
Answer:
) ''You need to consider 200^o = 180^o + 20^o , hence you need to use the next formula to evaluate sin 200^o in terms of k:
sin (alpha + beta) = sin alpha*cos beta + sin beta*cos alpha
Plugging alpha = 180^o , beta = 20^o in the formula yields:
sin 200^o = sin (180^o + 20^o) = sin 180^o*cos20^o + sin 20^o*cos 180^o
Plugging sin 180^o = 0 and cos180^o = -1 in the formula yields:
sin 200^o = - sin 20^o = -k''
Step-by-step explanation:
''Given sin 20°=k express the following in terms of k a) sin 200° b) cos 20° c) tan(-20°) d) sin 70° Related to trigonometry.'' https://www.enotes.com/homework-help/given-sin-20-k-express-following-terms-k-sin-200-b-307263 hope this helps
Help me please and if you do, I will add you and give you brainliest
Answer: B
Step-by-step explanation:
Help.me please!!!!!!
Answer:
5 seconds
Step-by-step explanation:
GODD SOMEONE HELP ME RIGHT NOW PLEASE THIS IS DUE TODAY AND I AM DUM I GIVE POINTS AND BRAINLIEST JUST HELP MEEE
Answer:
-5 and -6
Step-by-step explanation:
For trinomial factoring, you need two numbers that add up to get the -11x and two numbers that multiply to get 30.
-5 + (-6) = -11
-5 × -6 = 30
My grandmother’s cookie recipe uses 4 cups of sugar to make 35 cookies. My Uncle’s cookie recipe uses 3 cups of sugar to make 28 cookies. Whose cookies are sweeter?
Grandma's
Uncle's
Answer:
uncle's cookies
Step-by-step explanation:
Answer:
I think ur answer would be uncle cookies
Step-by-step explanation:
srry if wrong
hope this helps!
Between which two points is 95 located on the number line below?
Answer: A
Step-by-step explanation: The square root of 9 is 9.7 so it would be between 5 and 10
Answer:
A. W and X
Step-by-step explanation:
√95
9.74679434481
This number is close to 10.
5 and 15 are on the sides of 10.
X(10) is between W(5) and Y(15).
Of the players on a bowling team7/10 or 7 won trophies. Explain how you can find the number of players on the team.?
Answer:
10players
Step-by-step explanation:
Using the concept of probability
probability = expected outcome/total outcome
Total outcome s the numbers of players on the team
Given
Total number of trophy won = 7 (expected)
Fraction of those that won = 7/10 (probability)
Substitute
7/10 = 7/total outcome
1/10 = 1/total outcome
Reciprocate both sides
10/1 = total outcome
Swap
Total outcome = 10
Hence the number of players on the team is 10players
Choose the right one
Answer:
g(x) = 8x
Step-by-step explanation:
cause of IXL
GIVING BRAINLIEST!!!!!
What type of triangle is shown in the image?
Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle
Answer:
A. Obtuse triangle
B,C,D. Acute
Step-by-step explanation:
Which of the following correctly gives the center and radius of the circle defined by the equation (x - 7)2 + (x - 2)2 = 10? A. Center: (7, 2); Radius = 100 B. Center: (7, 2); Radius = 10 C. Center: (-7, -2); Radius = 100 D. Center: (-7, -2); Radius = 10
Answer:
Center (7,2) and radius = 10
Step-by-step explanation:
Generally, we have the equation of a circle as follows;
(x-a)^2 + (y-b)^2 = r^2
where (a,b) represents the circle center and r represents the radius of the circle
Looking at the given equation of a circle, we have it that the center is (7,2) while the radius of the circle is 10
on Tuesday, a local hamburger shop sold a combined total of 354 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburger sold. How many hamburgers were sold on Tuesday?
Answer:
176
Step-by-step explanation:
Equivalent expression of 5g +7g
Answer:
12g
Step-by-step explanation:
[tex]5g+7g=12g[/tex]
Answer:
12g
Step-by-step explanation:
5g+7g = 12g
have a great day
y is directly proportional to x^3
y = 17
when
x = 4
Work out an equation connecting y and x.
Answer:
[tex] 64y = 17 {x}^{3} [/tex]
Step-by-step explanation:
[tex]y \: \alpha \: {x}^{3} ....(given) \\ \therefore \: y = k {x}^{3} .. (1)\\ (k =arbitrary \:constant) \\when \: x = 4, \: \: y = 17, \:k =? \\ 17 = k {(4)}^{3} \\ 17 = 64k \\ k = \frac{17}{64} \\ plug \: k =\frac{17}{64} \: in \: equation \: (1) \\ y = \frac{17}{64} {x}^{3} \\ 64y = 17 {x}^{3} [/tex]
The correct equation connecting y and x is,
⇒ y = 17/64x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
⇒ y is directly proportional to x³
Hence, We get;
⇒ y = kx³
Here, y 17 at x = 4;
Hence,
⇒ 17 = k × 4³
⇒ k = 17 / 64
Thus, The correct equation connecting y and x is,
⇒ y = 17/64x
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FIRST CORRECT ANSWER GETS BRANLIEST PLEASE HELP!!!! PHOTO ABOVE
Answer:
Step-by-step explanation:
The Pythagorean theorem is that (for right triangles)
a^2+b^2=c
Meaning c is the side opposite the right angle
Hope this helps!
find the slope of the graph
Answer:
No image please add it on your next question.
A bag contains 9 blue marbles and 36 green marbles. If a representative sample contains 3 blue
marbles, then how many green marbles would you expect it to contain? Explain.
Answer:
It is 12 green marblesStep-by-step explanation:
[tex] \frac{9}{3} = 3 \\ \\ \frac{36}{x} = 3 \\ x = \frac{36}{3} \\ x = 12[/tex]
I hope that is useful for you :)
How do you break apart the factor 627 using place value?
Answer:
6 hundreds
2 tens
7 ones
Step-by-step explanation:
Un albañil construye una casa en 5 días si debe construir 3 casas cuántos días se demorará
How many solutions can be found for the equation 3z + 2[z - 3) = 7z+12
3z + 2(z - 3) = 7z + 12
Solution :-3z + 2(z - 3) = 7z + 12
3z + 2z - 6 = 7z + 12
3z + 2z - 7z = 12 + 6
5z - 7z = 18
-2z = 18
z = 18/2
z = 9
[tex] \\ [/tex]
Answered by - ItzAdmire
3z + 2(z - 3) = 7z + 12
Solution :-3z + 2(z - 3) = 7z + 12
3z + 2z - 6 = 7z + 12
3z + 2z - 7z = 12 + 6
5z - 7z = 18
-2z = 18
z = 18/2
z = 9
[tex] \\ [/tex]
Answered by - ItzMaster
Jessica got fast food for lunch. Jessica paid 3.10 dollars on fries and 4.88 on the sandwich with a $10 bill. Jessica got a combo deal. What was the change from the purchase?
Answer:
$2.02
Step-by-step explanation:
If Jessica paid $3.10 for fries and $4.88 for the sandwich, we need to add these two values together to find the total cost of her entire meal.
3.10 + 4.88 = 7.98
Since Jessica paid with a $10 bill then we need to subtract the total from the bill in order to find the change that Jessica will receive from her purchase.
$10 - $7.98 = $2.02
Now we can see that Jessica will receive a total of $2.02 in change after making her purchase.
GEOMETRY - triangle similarity
Answer:
ΔABC ≈ ΔDEF
∡B ≅ ∡E
x = 4.5
BC is similar to EF
Step-by-step explanation:
to find 'x':
6/16 = x/12
16x = 72
x = 4.5
Answer:
1) tri ABC ~ tri DEF
2) angle B ~ angle E
3) x= 4.5
4) ?= BC
Step-by-step explanation:
hi! a note: pls let me know if any of the answers are wrong ! i want anyone to have a wrong answer because of me thank u vm! (obviously, my explanations are not the official mathematical explanations)
1) I just matched up the letters, A to D, B to E, C to F
You can also use ratios, but if you dont need an explanation then ignore it.
2) matched up the angles: B corresponds to E
3) Ratio: 6/16 = x/12
16x = 72 cross multiply
x = 4.5
4) Again, just match up the sides
BC corresponds to EF
hope this helps :D best of luck
Write two solution points for the equation y=3x-1 when x us 1 and x is 2
Answer:
x=1. (1, 2)
x=2. (2, 5)
Step-by-step explanation:
i hope this helps :)
AABChas coordinates A (-4,-2), B(0,4), and C(4,-2). Find the midpoint of AC.
Answer:
( 0, - 2 )
Step-by-step explanation:
Mid point formula : -
( x1 + x2 ) / 2, ( y1 + y2 ) / 2
Here,
Let ( x1, y1 ) = ( - 4, - 2 )
Therefore,
x1 = - 4
y1 = - 2
Let ( x2, y2 ) = ( 4, -2 )
Therefore,
x2 = 4
y2 = - 2
Midpoint of AC
= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2
= ( 0 / 2, - 4 / 2 )
= ( 0, - 2 )
The midpoint of AC is ( 0, - 2 ) when coordinates of A (-4,-2), B(0,4), and C(4,-2) is given.
What is the Midpoint of a Line?
The midpoint of a line is a point that is equidistant from the endpoints of the line and in the middle of the line. If the endpoints of the line are (x)1, (y)1, and (x)2, (y)2, then the formula for the midpoint of the line is {[(x)1 + (x)2]/2, [(y)1 + (y)2]/2}.
Mid point formula is given as : -
( x1 + x2 ) / 2, ( y1 + y2 ) / 2
Here,
Let ( x1, y1 ) = ( - 4, - 2 )
x1 = - 4
y1 = - 2
Let ( x2, y2 ) = ( 4, -2 )
x2 = 4
y2 = - 2
now using Midpoint formula to find the coordinates of AC
= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2
= ( 0 / 2, - 4 / 2 )
= ( 0, - 2 )
Therefore, the midpoint of AC is ( 0, - 2 )
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Find f-1(x) if f(x) = 2x/3-4
Given:
The function is:
[tex]f(x)=\dfrac{2x}{3}-4[/tex]
To find:
The inverse of the given function, i.e., [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{2x}{3}-4[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=\dfrac{2x}{3}-4[/tex]
Step 2: Interchange x and y.
[tex]x=\dfrac{2y}{3}-4[/tex]
Step 3: Isolate y.
[tex]x+4=\dfrac{2y}{3}[/tex]
[tex]3(x+4)=2y[/tex]
[tex]\dfrac{3x+12}{2}=y[/tex]
[tex]\dfrac{3}{2}x+6=y[/tex]
Step 4: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex]
Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex].
What is the surface area of this triangular pyramid the height is 4 the base and width is 4 and the bottom back line is 4 and the base height is 3.5 yd.
Answer:
37 yd²
Step-by-step explanation:
The computation of the surface area of this triangular pyramid is shown below:
The surface area of this triangular pyramid is
But before that
Lateral area = 3(1 ÷ 2) × base × height
= (3 ÷ 2)(4 yd)(5 yd)
= 30 yd²
Now
base area = 1 ÷ 2 × base × height
= 1 ÷ 2(4 yd)(3.5 yd)
= 7 yd²
Now the total surface area is
surface area = lateral area + base area
= 30 yd² + 7 yd²
= 37 yd²
Find the area of the shape, there are 6 sides
Answer:
Step-by-step explanation:
all the three sides of a triangle are equal.
length of perpendicular from center on the side=[tex]h=\sqrt{21^2-(\frac{21}{2})^2} =\frac{21}{2}\sqrt{3} \\area ~of~shape=6 \times \frac{1}{2} \times 21 \times \frac{21}{2}\sqrt{3} \\=\frac{1321}{2}\sqrt{3} ~sq. ~ft.[/tex]
Nickoy brought some shirts. He paid $12 for each shirt. This can be modeled by the expression 12x. What does x represent
Answer:
x represents the number of shirts purchased
Step-by-step explanation:
Each time Nick buys a shirt, he has an outlay of $12. One shirt for $12, two shirts for $24, and so on. So the amount due for the purchase of x shirts is ($12/shirt)x, where x represents the number of shirts purchased.
1. :4
32+4 x (16 x 2)-2-
37:
---
Answer
Step-by-step explanation:
mulitiply the numbers
add the numbers
rearrange the numbers
need help will give brainliest
Answer:
40.56
Step-by-step explanation:
2pir
8÷2=r=4
2pi4=25.13
25.13÷2=12.565
10+10+8+12.56=40.565